The Density of Water Calculator helps determine the density of water based on its temperature. Since the density of water changes with temperature, this tool is essential for scientific research, engineering applications, fluid dynamics, and environmental studies. It enables users to calculate accurate density values for applications such as hydrodynamics, chemisches processes, and oceanography.
Formula of Density of Water Calculator
The density of water is calculated using the following temperature-dependent formula:
Density of Water = 999.842594 + (6.793952 × 10⁻² × Temperature) – (9.095290 × 10⁻³ × Temperature²) + (1.001685 × 10⁻⁴ × Temperature³) – (1.120083 × 10⁻⁶ × Temperature⁴) + (6.536332 × 10⁻⁹ × Temperature⁵)
wo:
- Masse Wasser is the total mass of water, typically in kilograms (kg) or grams (g).
- Wassermenge is the space occupied by water, typically in liters (L) or cubic meters (m³).
- Temperaturen is the water temperature in degrees Celsius (°C).
- The formula accounts for the temperature-dependent variation in water density.
This formula provides an accurate calculation of water density across different temperatures, ensuring precision in scientific and industrial applications.
Density of Water Reference Table
This table provides water density values at various temperatures for quick reference.
| Temperatur (° C) | Dichte (kg / m³) |
|---|---|
| 0 | 999.84 |
| 5 | 999.99 |
| 10 | 999.73 |
| 15 | 999.10 |
| 20 | 998.21 |
| 25 | 997.05 |
| 30 | 995.65 |
| 40 | 992.22 |
| 50 | 988.03 |
| 60 | 983.33 |
| 70 | 978.08 |
| 80 | 972.25 |
| 90 | 965.30 |
| 100 | 958.40 |
These values provide an easy way to determine water density based on temperature without requiring manual calculations.
Example of Density of Water Calculator
To calculate the density of water at a temperature of 30°C, we use the formula:
Density = 999.842594 + (6.793952 × 10⁻² × 30) – (9.095290 × 10⁻³ × 30²) + (1.001685 × 10⁻⁴ × 30³) – (1.120083 × 10⁻⁶ × 30⁴) + (6.536332 × 10⁻⁹ × 30⁵)
= 999.842594 + (2.038) – (8.185) + (2.705) – (2.916) + (1.764)
≈ 995.65 kg/m³
This means that at 30°C, water has a density of approximately 995.65 kg/m³, which is slightly lower than at 0°C due to Wärmeausdehnung.
Die häufigsten FAQs
Water expands as its temperature increases, causing its density to decrease. This is due to molecular movement increasing at higher temperatures, leading to a reduction in how closely packed water molecules are.
Water density is important in oceanography, climate science, and engineering. It influences buoyancy, fluid Fluss und Hitze transfer, impacting industries such as hydropower, HVAC, and shipping.
Water reaches its maximum density at approximately 4°C (999.97 kg/m³). Below this temperature, water expands due to the formation of hydrogen-bonded structures, which is why ice is less dense than liquid water.